677 · 23369115 + 1
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

This prime's information:

field (help)value
Description:677 · 23369115 + 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L2103 : Schmidt1, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1014208   (log10 is 1014207.50443012)
Rank (*):241 (digit rank is 1)
Entrance Rank (*):202
Currently on list? (*):short
Submitted:2/21/2017 09:17:41 CDT
Last modified:2/21/2017 10:50:13 CDT
Database id:123022
Status Flags:TrialDiv
Score (*):46.6763 (normalized score 18.9485)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

PrimeGrid writes (21 Feb 2017): 
For more details, please see the Official Announcement.

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
fieldvalue
prime_id123022
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"677*2^3369115+1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 677*2^3369115+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


677*2^3369115+1 is prime! (4924.9460s+0.0011s)
[Elapsed time: 82.08 minutes]
modified2017-03-31 15:53:56
created2017-02-21 09:21:02
id168667

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.